If in an A.P., Sn = n2p and Sm = m2p, where S denotes the sum of r terms of the A.P., then Sp is equal to

Sn = n2p, Sm = m2p ∴ Sr = r2p and Sp = p2p = p3 Hence Sp = p3

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This question belongs to Arithmetic Ability Progressions

Progressions

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If in an A.P., S_n = n²p and S_m = m²p, where S denotes the sum of r terms of the A.P., then S_p is equal to

A) $$\frac{1}{2}{p^3}$$ B) mnp C) p³ D) (m + n)p²

Answer & Solution

Correct Answer: Option C

S_n = n²p, S_m = m²p
∴ S_r = r²p and S_p = p²p = p³
Hence S_p = p³

Question posted by Examveda

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